Question

How do you express `9isqrt(-36)` as a product of a real number and i?

Answer 1

`9isqrt(-36)=-54`

Explanation:

First of all, we need to get rid of the square root: since `sqrt(a*b)=sqrt(a)sqrt(b)`, we have that `sqrt(-36)=sqrt(-1)sqrt(36) = i * 6`.

So, the whole expression becomes

`9i * 6i = 54 i^2 = -54`, so it was actually a real number, and you can't write it as a product of a real number and i